I-Z2336 aka I-CTS6364 is quite old (formed 4600 ybp with a TMRCA of 4200 ybp). See YFull's tree.
I would imagine it (well descendant groups of Z2336) has a fairly solid origin amongst the Germanic populations who eventually settled in Switzerland.
Eupedia posts this about Z2336/CTS6364.
Have you considered testing more SNPs or taking Big Y or another NGS test to confirm your terminal SNP below Z2336?